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Finding the Fourth Proportional to 9,892.19, 13,651.23 and 5,416.21

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Solution

The fourth proportional to 9,892.19, 13,651.23 and 5,416.21 is: 7,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.19 : 13,651.23 = 5,416.21 : x
  2. Step 2: Convert to fraction form
    9,892.19/13,651.23 = 5,416.21/x
  3. Step 3: Cross multiply
    9,892.19x = 13,651.23 × 5,416.21
  4. Step 4: Simplify right side
    9,892.19x = 73,937,965.81
  5. Step 5: Solve for x
    x = 73,937,965.81/9,892.19
  6. Step 6: Final answer
    x = 7,474.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.